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Finding the Third Proportional to 177,193 and 388,833

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Solution

The third proportional to 177,193 and 388,833 is: 853,256.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,193 : 388,833 = 388,833 : x
  2. Step 2: Convert to fraction form
    177,193/388,833 = 388,833/x
  3. Step 3: Cross multiply
    177,193x = 388,833 × 388,833
  4. Step 4: Simplify right side
    177,193x = 151,191,101,889
  5. Step 5: Solve for x
    x = 151,191,101,889/177,193
  6. Step 6: Final answer
    x = 853,256.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.